115485217344 has 448 divisors, whose sum is σ = 395098828800. Its totient is φ = 32802900480.

The previous prime is 115485217333. The next prime is 115485217369. The reversal of 115485217344 is 443712584511.

115485217344 is a `hidden beast` number, since 1 + 1 + 54 + 8 + 521 + 73 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 115485217344.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304710147 + ... + 304710525.

Almost surely, 2^115485217344 is an apocalyptic number.

115485217344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115485217344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197549414400).

115485217344 is an abundant number, since it is smaller than the sum of its proper divisors (279613611456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115485217344 is an frugal number, since it uses more digits than its factorization.

115485217344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 702 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The spelling of 115485217344 in words is "one hundred fifteen billion, four hundred eighty-five million, two hundred seventeen thousand, three hundred forty-four".